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Finding the Fourth Proportional to 883.60, 1,217.90 and 621.16

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Solution

The fourth proportional to 883.60, 1,217.90 and 621.16 is: 856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.60 : 1,217.90 = 621.16 : x
  2. Step 2: Convert to fraction form
    883.60/1,217.90 = 621.16/x
  3. Step 3: Cross multiply
    883.60x = 1,217.90 × 621.16
  4. Step 4: Simplify right side
    883.60x = 756,510.76
  5. Step 5: Solve for x
    x = 756,510.76/883.60
  6. Step 6: Final answer
    x = 856.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.